Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems

Myoungjean Bae, Korea Advanced Institute of Science and Technology, Daejeon, Korea. Gui-Qiang G. Chen, University of Oxford, United Kingdom. Mikhail Feldman, University of Wisconsin, Madison, Wisconsin.

Acknowledgments 1. Introduction 2. Mathematical Problems and Main Theorems 3. Uniform Estimates of Admissible Solutions 4. Iteration Set 5. Existence of Admissible Solutions Up to $\beta _\mathrm {d}^{(v_{\infty })}$ - Proof of Theorem 2.31 6. Optimal Regularity of Admissible Solutions - Proof of Theorem 2.33 A. The Shock Polar for Steady Potential Flow B. Non-Existence of Self-Similar Strong Shock Solutions C. Quasilinear Elliptic Equations in Two Variables